Mathematical Sciences Classification System

11Mxx - Zeta and $L$-functions: analytic theory

  • 15
    11M06
    $\zeta (s)$ and $L(s, \chi)$
  • 2
    11M20
    Real zeros of $L(s, \chi)$; results on $L(1, \chi)$
  • 11
    11M26
    Nonreal zeros of $\zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses
  • 4
    11M32
    Multiple Dirichlet series and zeta functions and multizeta values
  • 1
    11M35
    Hurwitz and Lerch zeta functions
  • 9
    11M36
    Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
  • 3
    11M38
    Zeta and $L$-functions in characteristic $p$
  • 2
    11M41
    Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
  • 1
    11M45
    Tauberian theorems [See also 40E05]
  • 1
    11M50
    Relations with random matrices
  • 11M55
    Relations with noncommutative geometry
  • 11M99
    None of the above, but in this section

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